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Finding the Fourth Proportional to 266.96, 367.34 and 204.77

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Solution

The fourth proportional to 266.96, 367.34 and 204.77 is: 281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 367.34 = 204.77 : x
  2. Step 2: Convert to fraction form
    266.96/367.34 = 204.77/x
  3. Step 3: Cross multiply
    266.96x = 367.34 × 204.77
  4. Step 4: Simplify right side
    266.96x = 75,217.35
  5. Step 5: Solve for x
    x = 75,217.35/266.96
  6. Step 6: Final answer
    x = 281.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.